2(x-4)-10=-4(x+3)

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Solution for 2(x-4)-10=-4(x+3) equation:


Simplifying
2(x + -4) + -10 = -4(x + 3)

Reorder the terms:
2(-4 + x) + -10 = -4(x + 3)
(-4 * 2 + x * 2) + -10 = -4(x + 3)
(-8 + 2x) + -10 = -4(x + 3)

Reorder the terms:
-8 + -10 + 2x = -4(x + 3)

Combine like terms: -8 + -10 = -18
-18 + 2x = -4(x + 3)

Reorder the terms:
-18 + 2x = -4(3 + x)
-18 + 2x = (3 * -4 + x * -4)
-18 + 2x = (-12 + -4x)

Solving
-18 + 2x = -12 + -4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4x' to each side of the equation.
-18 + 2x + 4x = -12 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-18 + 6x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 6x = -12 + 0
-18 + 6x = -12

Add '18' to each side of the equation.
-18 + 18 + 6x = -12 + 18

Combine like terms: -18 + 18 = 0
0 + 6x = -12 + 18
6x = -12 + 18

Combine like terms: -12 + 18 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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